Results 21 to 30 of about 109,889 (312)

A Study on Generalized Absolute Matrix Summability

Cumhuriyet Science Journal, 2022
In the present paper, generalized absolute matrix summability method of infinite series has been studied. A known theorem on IMI ,summability method has been generalized using the summability method of infinite series.
Ahmet Karakaş
doaj   +1 more source

On Absolute Cesàro Summability

Journal of Inequalities and Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Şevli, Hamdullah, Savaş, Ekrem
openaire   +3 more sources

Ideal-quasi-Cauchy sequences [PDF]

, 2012
An ideal $I$ is a family of subsets of positive integers $\textbf{N}$ which is closed under taking finite unions and subsets of its elements.
Cakalli, Huseyin, Hazarika, Bipan
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A new factor theorem for generalized absolute Riesz summability

Karpatsʹkì Matematičnì Publìkacìï, 2019
The aim of this paper is to consider an absolute summability method and generalize a theorem concerning $\left|\bar{N},p_{n}\right|_{k}$ summability of infinite series to ${\varphi-\mid{\bar{N},p_n;\delta}\mid}_k$ summability of infinite series by using ...
A. Karakaş
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A new extension on the theorem of Bor

Comptes Rendus. Mathématique, 2021
In [8], Bor has obtained a main theorem dealing with Riesz summability factors of infinite series and Fourier series. In this paper, we generalized that theorem to $|A,\theta _{n}|_{k}$ summability method for taking power increasing sequence.
Yıldız, Şebnem
doaj   +1 more source

A note on the Fourier transform in Hölder spaces [PDF]

, 2016
En este artículo, se estudia la acotación de la transformada periódica de Fourier desde espacios de Lebesgue a Espacios Hölder. Par- ticularmente, se generaliza un resultado clásico de Bernstein.
Cardona Sanchez, Duvan
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Orlicz–Pettis Theorem through Summability Methods

Mathematics, 2019
This paper unifies several versions of the Orlicz−Pettis theorem that incorporate summability methods. We show that a series is unconditionally convergent if and only if the series is weakly subseries convergent with respect to a regular linear ...
Fernando León-Saavedra, María del Pilar Romero de la Rosa, Antonio Sala   +2 more
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On a new application of quasi power increasing sequences

Karpatsʹkì Matematičnì Publìkacìï, 2019
In the present paper, absolute matrix summability of infinite series has been studied. A new theorem concerned with absolute matrix summability factors, which generalizes a known theorem dealing with absolute Riesz summability factors of infinite series,
H.S. Özarslan
doaj   +1 more source

A Summability Factor Theorem for Generalized Absolute Summability

Real Analysis Exchange, 2006
In this paper, we establish a summability factor theorem for summability |A, |k as defined in (1) where A is a lower triangular matrix with non-negative entries satisfying certain conditions. Our paper is an extension of the main result of [1] using definition (1) below.
Rhoades, B. E., Savaş, Ekrem
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A note on absolute summability factors

, 2002
In this paper, by using an almost increasing and $\delta$-quasi-monotone sequence, a general theorem on $\phi-{\mid{C},\alpha\mid}_k$ summability factors, which generalizes a result of Bor \cite{3} on ${\phi-\mid{C},1\mid}_k$ summability factors, has ...
Ozarslan, H. S.
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